Calculate – Find $ lim borders_ {n to + infty} np ^ n Sum borders_ {k = n} ^ { infty} binom {k-1} {n-1} (1-p) ^ {kn} $.

This is most likely a probabilistic problem

$$ E (1 / X) = sum_ {k = n} ^ { infty} frac {1} {k} binom {k-1} {n-1} p ^ n (1-p) ^ {kn}, $$
Where $ X $ is the random variable of Negative binomial distribution. So the current limit is very
$$ lim_ {n to infty} nE (1 / X). $$
What's next? Can it only be solved by calculus? without probability?

Do you still support open borders after coronovirus?

I didn't support them before the Corona virus.

Just because this disease occurred on an airplane does not mean that the next one could not cross our border.

I am not against immigration, but I want the safety, health and well-being of current citizens to be given due consideration.

If we allow them legally, they should go through a proper medical exam.

This medical screening will help ensure that everyone in the United States is safe, including new immigrants.

It would also be good training for the next mass virus outbreak.

webgl – How to cover the game view with game background borders

I have a game view that shows the game, but I don't want to show the edges of that view. I have a background that covers this game view on the edges, so the game view in the middle edges shows the background.

Method 1. I first draw the background and then the game view up. I don't know how to mask the edges of the game view.

Method 2. I first draw the game view and then the edges of the background on the edges of the game view so that they hide the edges.

Basically, I don't know how to create a game layout with a user interface and game view.

Google Apps – Space / borders cannot be removed

I'm working on my Google Docs (word processor) resume and trying to add my name and personal information above, but I see a blank line above it.

As you can see, I'm trying to do the work with tables (it will whit the table margins afterwards). I made it look the way I want to use headers, but I've heard that some ATS (applicant tracking systems) omit the information in headers, so I'm trying to recreate the look throughout my body.

I searched everywhere in Google Docs for the deletion of the space / margin, but can't find it.

Continue

Sobolev spaces – exchange of borders and derivatives in weak wording.

To let $ Omega subset (-1,1) ^ d $ With $ C ^ 2 $ Limit and consider the Poisson PDE,

$ triangle u = f x in Omega $.

$ u = 0, x in partial Omega $

I know that there is a unique weak solution $ u in H ^ 2 ( Omega) $ for the above problem. I want to show

$ int_ Omega triangle u triangle v dx = int_ Omega f triangle v dx forall v in H ^ 2 ( Omega) $

I did the following:

There is a unique weak solution $ u in H ^ 2 ( Omega) $ we have,

$ int_ Omega triangle u v dx = int_ Omega fv dx, forall v in C_c ^ infty $.

That applies to everyone $ v in C ^ infty_c ( Omega) $ it applies to

$ int_ Omega triangle u triangle v dx = int_ Omega f triangle v dx, forall v in C_c ^ infty $.

To let $ lbrace v_n rbrace $ to be a consequence of $ C_c ^ infty ( Omega) $ Functions that converge to a $ v in H ^ 2 ( Omega) $this has followed since then $ C ^ infty_c $ is tight in $ H ^ 2 ( Omega) $, Consequently,

$ int_ Omega triangle u triangle v_n dx = int_ Omega f triangle v_n dx, forall v_n in C_c ^ infty $.

$ lim_ {n rightarrow infty} int_ Omega triangle u triangle v_n dx = lim_ {n rightarrow infty} int_ Omega f triangle v dx, forall v_n in C_c ^ infty $.

With the dominant convergence theorem we have:

$ int_ Omega lim_ {n rightarrow infty} triangle u triangle v_n dx = int_ Omega lim_ {n rightarrow infty} for triangle v_n dx, forall v_n in C_c ^ infty $.

My question is can i exchange the derivative and limit to get

$ int_ Omega triangle u triangle v dx = int_ Omega f triangle v dx, forall v in H ^ 2 ( Omega) $.

Thank you for any help.

opengl es2 – Godot 3.1.2: black lines / borders around sprite

In Godot 3.1.2 with OpenGL ES2, black borders / lines seem to form around some of the sprites I imported. They are usually displayed above the sprite, but can also form a "frame".

I'm new to Godot development, but I'm from Unity. I assume that I did something wrong during the import or that the texture settings are not set correctly. So far, however, I have not been able to find a setting that corrects this problem.

So my question is: Where can I find texture / image settings that can fix this problem? Or if the problem is from another source, how can I make sure the images are displayed without the black lines?
(Bonus question: Is there also a possibility / setting to display tiles in the Y-axis out of focus?)

(I'm fairly new to Stack Exchange / GameDev. If my question misses some details, please let me know :))

Lines appear above the sprites